Jérémy Berthomieu

According to our database, Jérémy Berthomieu authored at least 26 papers between 2011 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Computing Generic Fibres of Polynomial Ideals with FGLM and Hensel Lifting.

Jérémy Berthomieu, Rafael Mohr

CoRR, 2024

Computing Generic Fibers of Polynomial Ideals with FGLM and Hensel Lifting.

Jérémy Berthomieu, Rafael Mohr

Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, 2024

2023

Modular Matrix Multiplication on GPU for Polynomial System Solving.

Jérémy Berthomieu, Stef Graillat, Dimitri Lesnoff, Théo Mary

ACM Commun. Comput. Algebra, June, 2023

Contributions to polynomial system solving: Recurrences and Gröbner bases.

Jérémy Berthomieu

, 2023

2022

Polynomial-division-based algorithms for computing linear recurrence relations.

Jérémy Berthomieu, Jean-Charles Faugère

J. Symb. Comput., 2022

Guessing Gröbner bases of structured ideals of relations of sequences.

Jérémy Berthomieu, Mohab Safey El Din

J. Symb. Comput., 2022

Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems.

Alin Bostan, Jérémy Berthomieu, Andrew Ferguson, Mohab Safey El Din

CoRR, 2022

New efficient algorithms for computing Gröbner bases of saturation ideals (F4SAT) and colon ideals (Sparse-FGLM-colon).

Jérémy Berthomieu, Christian Eder, Mohab Safey El Din

CoRR, 2022

Faster Change of Order Algorithm for Gröbner Bases under Shape and Stability Assumptions.

Jérémy Berthomieu, Vincent Neiger, Mohab Safey El Din

Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

2021

On the computation of asymptotic critical values of polynomial maps and applications.

Jérémy Berthomieu, Andrew Ferguson, Mohab Safey El Din

CoRR, 2021

msolve: A Library for Solving Polynomial Systems.

Jérémy Berthomieu, Christian Eder, Mohab Safey El Din

Proceedings of the ISSAC '21: International Symposium on Symbolic and Algebraic Computation, 2021

2020

In-depth comparison of the Berlekamp-Massey-Sakata and the Scalar-FGLM algorithms: The adaptive variants.

Jérémy Berthomieu, Jean-Charles Faugère

J. Symb. Comput., 2020

Guessing Gr{ö}bner Bases of Structured Ideals of Relations of Sequences.

Jérémy Berthomieu, Mohab Safey El Din

CoRR, 2020

Towards fast one-block quantifier elimination through generalised critical values.

Jérémy Berthomieu, Andrew Ferguson, Mohab Safey El Din

ACM Commun. Comput. Algebra, 2020

2018

A Polynomial-Division-Based Algorithm for Computing Linear Recurrence Relations.

Jérémy Berthomieu, Jean-Charles Faugère

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

2017

Linear algebra for computing Gröbner bases of linear recursive multidimensional sequences.

Jérémy Berthomieu, Brice Boyer, Jean-Charles Faugère

J. Symb. Comput., 2017

In-depth comparison of the Berlekamp - Massey - Sakata and the Scalar-FGLM algorithms: the non adaptive variants.

Jérémy Berthomieu, Jean-Charles Faugère

CoRR, 2017

2016

Guessing Linear Recurrence Relations of Sequence Tuplesand P-recursive Sequences with Linear Algebra.

Jérémy Berthomieu, Jean-Charles Faugère

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015

Polynomial-time algorithms for quadratic isomorphism of polynomials: The regular case.

Jérémy Berthomieu, Jean-Charles Faugère, Ludovic Perret

J. Complex., 2015

2013

Polynomial-Time Algorithms for Quadratic Isomorphism of Polynomials.

Jérémy Berthomieu, Jean-Charles Faugère, Ludovic Perret

CoRR, 2013

Polynomial root finding over local rings and application to error correcting codes.

Jérémy Berthomieu, Grégoire Lecerf, Guillaume Quintin

Appl. Algebra Eng. Commun. Comput., 2013

2012

Reduction of bivariate polynomials from convex-dense to dense, with application to factorizations.

Jérémy Berthomieu, Grégoire Lecerf

Math. Comput., 2012

Spherical Radon transform and the average of the condition number on certain Schubert subvarieties of a Grassmannian.

Jérémy Berthomieu, Luis Miguel Pardo

J. Complex., 2012

Relaxed p-adic Hensel lifting for algebraic systems.

Jérémy Berthomieu, Romain Lebreton

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

2011

Contributions à la résolution des systèmes algébriques : réduction, localisation, traitement des singularités ; implantations. (Contributions to algebraic system solving: reduction, localization, singularities handling; implementations).

Jérémy Berthomieu

PhD thesis, 2011

Mathemagix: the quest of modularity and efficiency for symbolic and certified numeric computation?

Joris van der Hoeven, Grégoire Lecerf, Bernard Mourrain, Philippe Trébuchet, Jérémy Berthomieu, Daouda Niang Diatta, Angelos Mantzaflaris

ACM Commun. Comput. Algebra, 2011